Atkin-Lehner |
3+ 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915d |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
726792660731036025 = 38 · 52 · 76 · 172 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-830946,-288992682] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:1089:1] |
Generators of the group modulo torsion |
j |
63451537426968151472929/726792660731036025 |
j-invariant |
L |
2.8285082625094 |
L(r)(E,1)/r! |
Ω |
0.15823662515679 |
Real period |
R |
1.489598388756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101745bl2 |
Quadratic twists by: -3 |